485972640 has 144 divisors (see below), whose sum is σ = 1665669096. Its totient is φ = 129024000.

The previous prime is 485972623. The next prime is 485972653. The reversal of 485972640 is 46279584.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 262051344 + 223921296 = 16188^2 + 14964^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 404040 + ... + 405240.

Almost surely, 2^485972640 is an apocalyptic number.

485972640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 485972640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832834548).

485972640 is an abundant number, since it is smaller than the sum of its proper divisors (1179696456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

485972640 is a wasteful number, since it uses less digits than its factorization.

485972640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 485972640 is about 22044.7871389134. The cubic root of 485972640 is about 786.2076641824.

The spelling of 485972640 in words is "four hundred eighty-five million, nine hundred seventy-two thousand, six hundred forty".